7965604787712 has 1280 divisors, whose sum is σ = 28277870100480. Its totient is φ = 1953231667200.

The previous prime is 7965604787711. The next prime is 7965604787713. The reversal of 7965604787712 is 2177874065697.

It is an interprime number because it is at equal distance from previous prime (7965604787711) and next prime (7965604787713).

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7965604787711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2975570118 + ... + 2975572794.

It is an arithmetic number, because the mean of its divisors is an integer number (22092086016).

Almost surely, 2^{7965604787712} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7965604787712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14138935050240).

7965604787712 is an abundant number, since it is smaller than the sum of its proper divisors (20312265312768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7965604787712 is a wasteful number, since it uses less digits than its factorization.

7965604787712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2795 (or 2779 counting only the distinct ones).

The product of its (nonzero) digits is 248935680, while the sum is 69.

The spelling of 7965604787712 in words is "seven trillion, nine hundred sixty-five billion, six hundred four million, seven hundred eighty-seven thousand, seven hundred twelve".